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Line Charts - General Aptitude

The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.

Percentage profit earned by Two Companies X and Y over the Given Years

%Profit = Income - Expenditure x 100
Expenditure

Q1:

The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their expenditures in 2000 ?

A 7:22

B 14:19

C 15:22

D 27:35

ANS:C - 15:22

Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively. And let the expenditures in 2000 of Companies X and Y be E1 and E2 respectively. Then, for Company X we have:

65 = 3x - E1 x 100     =>     65 = 3x - 1     =>     E1 = 3x x ( 100 ) .... (i)
E1 100 E1 165
For Company Y we have:
50 = 4x - E2 x 100     =>     50 = 4x - 1     =>     E2 = 4x x ( 100 ) .... (ii)
E2 100 E2 150
From (i) and (ii), we get:
E1 =
3x x ( 100 )
165
= 3 x 150 = 15 (Required ratio).
E2
4x x ( 100 )
150
4 x 165 22